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Simplifying 4a + -2(a + -9) = 2 + 3a Reorder the terms: 4a + -2(-9 + a) = 2 + 3a 4a + (-9 * -2 + a * -2) = 2 + 3a 4a + (18 + -2a) = 2 + 3a Reorder the terms: 18 + 4a + -2a = 2 + 3a Combine like terms: 4a + -2a = 2a 18 + 2a = 2 + 3a Solving 18 + 2a = 2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 18 + 2a + -3a = 2 + 3a + -3a Combine like terms: 2a + -3a = -1a 18 + -1a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 18 + -1a = 2 + 0 18 + -1a = 2 Add '-18' to each side of the equation. 18 + -18 + -1a = 2 + -18 Combine like terms: 18 + -18 = 0 0 + -1a = 2 + -18 -1a = 2 + -18 Combine like terms: 2 + -18 = -16 -1a = -16 Divide each side by '-1'. a = 16 Simplifying a = 16
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